444377672 has 36 divisors (see below), whose sum is σ = 866300955. Its totient is φ = 213692416.

The previous prime is 444377669. The next prime is 444377683. The reversal of 444377672 is 276773444.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 439908676 + 4468996 = 20974^2 + 2114^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14906.

It is a Duffinian number.

Its product of digits (790272) is a multiple of the sum of its prime divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1728968 + ... + 1729224.

Almost surely, 2^444377672 is an apocalyptic number.

It is an amenable number.

444377672 is a deficient number, since it is larger than the sum of its proper divisors (421923283).

444377672 is an equidigital number, since it uses as much as digits as its factorization.

444377672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 288 counting only the distinct ones).

The product of its digits is 790272, while the sum is 44.

The square root of 444377672 is about 21080.2673607334. The cubic root of 444377672 is about 763.1046087707.

The spelling of 444377672 in words is "four hundred forty-four million, three hundred seventy-seven thousand, six hundred seventy-two".